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Titlebook: Cohomological Theory of Dynamical Zeta Functions; Andreas Juhl Book 2001 Birkh?user Verlag 2001 Globale Analysis.differential equation.dyn

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書(shū)目名稱(chēng)Cohomological Theory of Dynamical Zeta Functions
編輯Andreas Juhl
視頻videohttp://file.papertrans.cn/230/229246/229246.mp4
叢書(shū)名稱(chēng)Progress in Mathematics
圖書(shū)封面Titlebook: Cohomological Theory of Dynamical Zeta Functions; Andreas Juhl Book 2001 Birkh?user Verlag 2001 Globale Analysis.differential equation.dyn
描述Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of lo- cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from a cohomological point of view. Originally, the Selberg zeta function appeared in the spectral theory of automorphic forms and were suggested by an analogy between Weil‘s explicit formula for the Riemann zeta function and Selberg‘s trace formula ([261]). The purpose of the cohomological theory is to understand the analytical properties of the zeta functions on the basis of suitable analogs of the Lefschetz fixed point formula in which periodic orbits of the geodesic flow take the place of fixed points. This approach is parallel to Weil‘s idea to analyze the zeta functions of pro- jective algebraic varieties over finite fields on the basis of suitable versions of the Lefschetz fixed point formula. The Lefschetz formula formalism shows that the divisors of the rational Hassc-Wcil zeta functions are determined by the spectra of Frobenius operators on l-adic cohomology.
出版日期Book 2001
關(guān)鍵詞Globale Analysis; differential equation; dynamische Systeme; harmonic analysis; measure
版次1
doihttps://doi.org/10.1007/978-3-0348-8340-5
isbn_softcover978-3-0348-9524-8
isbn_ebook978-3-0348-8340-5Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightBirkh?user Verlag 2001
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The Verma Complexes on , and ,, complexes for A E -No to some Zelobenko complexes on Sn.. The analogous results for complexes of currents are used in the last section to prove Theorem 1.4. The convention introduced at the end of Chapter 4 is assumed to be in force throughout.
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Harmonic Currents and Canonical Complexes, such that where H. is the orthogonal projection onto the harmonic p-forms (see [65], [301]). The latter identity implies the decompositionfor . E 1P (M), and if we assume as above that w is a finite sum of eigenforms for the first . eigenvalues then we obtain the formula
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Book 2001w of lo- cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from a cohomological point of view. Originally, the Selberg zeta function appeared in the spectral theory of automorphic forms and were sugges
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0743-1643 odesic flow of lo- cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from a cohomological point of view. Originally, the Selberg zeta function appeared in the spectral theory of automorphic forms and w
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